Higher Order Isotropic Velocity Grids in Lattice Methods
نویسندگان
چکیده
منابع مشابه
Doing Lattice Theory in Higher Order
We show how the abstract theory of (complete, boolean) lattices can be for-malised as a theory in the HOL theorem prover. The abstract lattice theory can be instantiated for concrete cases, providing immediate instantiations of many useful results. In particular, we treat the abstract theory of function lattices as an instantiation of the abstract lattice theory.
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the Kronecker sum of DD with itself, a total of d times. Using a standard fact about Kronecker sums, if ρ1, . . . , ρN denote the eigenvalues of DD then ρi1 + ρi2 + · · ·+ ρid , i1, . . . , id ∈ {1, . . . , N}, are the eigenvalues of (∆̃) ∆̃. By counting the multiplicity of the zero eigenvalue, we arrive at a nullity for ∆̃ of (k + 1). One can now directly check that each of the polynomials specif...
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ژورنال
عنوان ژورنال: Physical Review Letters
سال: 1998
ISSN: 0031-9007,1079-7114
DOI: 10.1103/physrevlett.80.3960